Painting A cylindrical tank has the dimensions shown. Use a formula to find the surface area of the tank. If one gallon of paint
how many full gallons would you need to put two coats of paint on the entire surface of the tank? Use 3.14 for pie
To find the surface area of the cylindrical tank, you need to find the areas of the top and bottom circles and the lateral area.
The formula for the area of a circle is A = πr^2, where r is the radius. Since the diameter of the top and bottom circles is 6 feet (which means the radius is 3 feet), the area for each circle would be A = 3.14 * (3^2) = 28.26 square feet.
The formula for the lateral area of a cylinder is A = 2πrh, where r is the radius and h is the height. The height of the cylinder is 7 feet, so the lateral area would be A = 2 * 3.14 * 3 * 7 = 131.88 square feet.
To find the total surface area of the tank, you add the areas of the top and bottom circles to the lateral area: 28.26 + 28.26 + 131.88 = 188.4 square feet.
Since one gallon of paint covers 1 square foot, you would need 188.4 gallons of paint for one coat.
To put two coats of paint on the entire surface of the tank, you would need 2 * 188.4 = 376.8 gallons of paint in total.